Abstract
Let X be a polynomial vector field in ▪ and denote by F the corresponding holomorphic foliation in ▪. Assume that (i) F has hyperbolic singularities; (ii) for some Riemannian metric on ▪, hermitian along the leaves of F , these leaves have sub-exponential growth. Then F is a hyperbolic linear foliation. In particular, the limit set of F is a union of singularities and invariant algebraic curves. It is interesting to regard this result under the standpoint of [16].
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